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The balanced 2-median and 2-maxian problems on a tree

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  • Jafar Fathali

    (Shahrood University of Technology, University Blvd.)

  • Mehdi Zaferanieh

    (Hakim Sabzevari University)

Abstract

This paper deals with the facility location problems on a balancing allocation approach. Two location models are proposed, which are convex combinations of the traditional p-median and p-maxian problems together with minimizing the maximum demand level allocated to any facility. An edge deletion method with time complexity $$O(n^2)$$ O ( n 2 ) is represented for the balanced 2-median problem on a tree. For the balanced 2-maxian problem, it is shown the optimal solution is two end vertices of the longest path of the tree, which can be obtained in linear time.

Suggested Citation

  • Jafar Fathali & Mehdi Zaferanieh, 2023. "The balanced 2-median and 2-maxian problems on a tree," Journal of Combinatorial Optimization, Springer, vol. 45(2), pages 1-16, March.
    • Handle: RePEc:spr:jcomop:v:45:y:2023:i:2:d:10.1007_s10878-023-00997-9
    DOI: 10.1007/s10878-023-00997-9
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    References listed on IDEAS

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